On isospectral deformations of riemannian metrics. II

Ruishi Kuwabara

Compositio Mathematica (1982)

  • Volume: 47, Issue: 2, page 195-205
  • ISSN: 0010-437X

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Kuwabara, Ruishi. "On isospectral deformations of riemannian metrics. II." Compositio Mathematica 47.2 (1982): 195-205. <http://eudml.org/doc/89569>.

@article{Kuwabara1982,
author = {Kuwabara, Ruishi},
journal = {Compositio Mathematica},
keywords = {Laplace-Beltrami operator; spectrum; isospectral deformation; Riemannian metric; geodesic flow},
language = {eng},
number = {2},
pages = {195-205},
publisher = {Martinus Nijhoff Publishers},
title = {On isospectral deformations of riemannian metrics. II},
url = {http://eudml.org/doc/89569},
volume = {47},
year = {1982},
}

TY - JOUR
AU - Kuwabara, Ruishi
TI - On isospectral deformations of riemannian metrics. II
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 47
IS - 2
SP - 195
EP - 205
LA - eng
KW - Laplace-Beltrami operator; spectrum; isospectral deformation; Riemannian metric; geodesic flow
UR - http://eudml.org/doc/89569
ER -

References

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  1. [1] R. Kuwabara: On isospectral deformations of Riemannian metrics. Comp. Math.40 (1980) 319-324. Zbl0406.53038MR571054
  2. [2] R. Kuwabara: On the characterization of flat metrics by the spectrum. Comment. Math. Helv.55 (1980) 427-444. Zbl0448.58027MR593057
  3. [3] M. Berger, P. Gauduchon, and E. Mazet: Le spectre d'une variété riemannienne. Lecture Notes in Mathematics194. Springer-Verlag, 1971. Zbl0223.53034MR282313
  4. [4] V. Guillemin and D. Kazhdan: Some inverse spectral results for negatively curved 2-manifolds. Topology19 (1980) 301-312. Zbl0465.58027MR579579
  5. [5] V. Guillemin and D. Kazhdan: Some inverse spectral results for negatively curved n-manifolds. Proc. Sympos. Pure Math.36 (1980) 153-180. Zbl0456.58031MR573432
  6. [6] S. Tanno: A characterization of the canonical sphere by the spectrum. Math. Z.175 (1980) 267-274. Zbl0431.53037MR602639
  7. [7] P.D. Lax: Integrals of nonlinear equations of evolution and solitary waves. Comm. Pure Appl. Math.21 (1968) 467-490. Zbl0162.41103MR235310
  8. [8] F.E. Browder: Families of linear operators depending upon a parameter. Am. J. Math.87 (1965) 752-758. Zbl0149.10001MR185450
  9. [9] J. Moser: On the volume elements on a manifold. Trans. Amer. Math. Soc.120 (1965) 286-294. Zbl0141.19407MR182927
  10. [10] M. Berger: Quelques formules de variation pour une structure riemannienne. Ann. sci. Éc. Norm. Sup., 4e serie 3 (1970) 285-294. Zbl0204.54802MR278238
  11. [11] D.G. Ebin and J. Marsden: Groups of diffeomorphisms and the motion of an incompressible fluid. Ann. of Math.92 (1970) 102-163. Zbl0211.57401MR271984
  12. [12] N. Koiso: Non-deformability of Einstein metrics. Osaka J. Math.15 (1978) 419-433. Zbl0392.53030MR504300
  13. [13] D.G. Ebin: The manifold of Riemannian metrics. Proc. Symp. Pure Math.15 (1970) 11-40. Zbl0205.53702MR267604
  14. [14] D.V. Anosov: Geodesic flow on closed Riemannian manifolds with negative curvature. Trudy Mat. Inst. Steklov90 (1967). Zbl0176.19101MR224110

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